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vovangra [49]
2 years ago
8

Find the total surface area of this triangular prism.

Mathematics
1 answer:
Zinaida [17]2 years ago
4 0

Answer:

The surface area of the prism is 144cm²

Step-by-step explanation:

First of all we need to calculate the area of ​​the triangle

a = area of triangle

a = (8 cm * 6 cm) / 2

a = 48cm² / 2

a = 24cm²

Now we have to calculate the 3 areas of the rectangles

a1 = 4cm * 10cm

a1 = 40cm²

a2 = 4cm * 8cm

a2 = 32cm²

a3 = 4cm *6cm

a3 = 24cm²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

40cm² + 32cm² + 24cm² + 2 * 24cm²

144cm²

The surface area of the prism is 144cm²

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Find the angle that makes them supplementary.
8090 [49]

Answer:

Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles.

A line segment has two end points.

A ray has only one end point (its vertex).

A line has no end points on either side.  

This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:

Pairs of Angles          Condition

Two complementary angles Measures add up to 90°

Two supplementary angles Measures add up to 180°

Two adjacent angles Have a common vertex and a common arm but no common interior

Linear pair Adjacent and supplementary

A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

All the types are discussed in detail and are supplemented with examples and short questions.  

Under the topic pair of lines, various sub-sections are discussed namely:

Intersecting lines

Transversal  

Angles made by a transversal

When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.

A transversal is a line that intersects two or more lines at distinct points.

Six angles discussed in this section:

1. Interior angles

2. Exterior angles

3. Pairs of Corresponding angles

4. Pairs of Alternate interior angles

5. Pairs of Alternate exterior angles

6. Pairs of interior angles on the same side of the transversal

Transversal of parallel lines

5 0
3 years ago
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
dimulka [17.4K]
You can set up a system of equations for this problem. x= number of coach tickets and y = number of first class tickets.

$210x + $1200y = $10,230 (cost of coach ticket plus cost of first class tickets is total budget)

x + y = 11 (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 11 - x, then plug that into the first equation and solve for x:

$210x + $1200(11 - x) = $10,230

$210x + $13,200 - $1200x = $10,230

-$990x + $13,200 = $10,230

-$990x = $2,970

x = 3


Sarah bought x = 3 coach tickets. Plug that into the second equation and solve for y:

3 + y = 11

y = 8


Sarah bought y = 8 first class tickets.
6 0
3 years ago
If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
Naddik [55]

Answer:

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

f(x) = \sqrt{x}

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

7 0
3 years ago
How can you use multiplication in your everyday life?
Bas_tet [7]

Answer:

On kitchen. Yes. there also we use multiplication. If we are trying to cook something from the recipe website, they tell to add 1 glass of water for 100 gm of rice. But we measure the amount of water based on the quantity of the rice. It’s simple multiplication.

Travelling with your friends. If we are travelling with our friends in a public transport facility like bus or metro, we need to buy multiple tickets. There we need to do multiplication.

Step-by-step explanation:

5 0
2 years ago
How much greater is the five in the hundreds place the end of five in the tens place
Viktor [21]
It would be 10 times greater im pretty sure.
8 0
3 years ago
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